A spherical conductor of radius has a charge of distributed uniformly on its surface. What is the electric field
(1) inside the sphere.
(2) just outside the sphere.
(3) at a point from the centre of sphere.

Solution:

(1) Given:

Radius of spherical conductor,

Charge is spread uniformly across the surface of the material. .

When an electric field is created inside a spherical conductor, it is equal to zero.

(2) The relationship between the electric field just outside the conductor and the conductor itself is described by the equation

Here,

permittivity of free space and

Therefore,

Therefore, just outside the sphere the electric field is .

(3) From the centre of the sphere the electric field at a point .

From the centre of the sphere, the distance of point .

So, from the centre of sphere the electric field at a point away is .